Efficiency properties of cell means variance component estimates

Peter H. Westfall; Ronald H. Bremer

doi:10.1016/0378-3758(94)90033-7

Efficiency properties of cell means variance component estimates

Peter H. Westfall, Ronald H. Bremer

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Abstract

Variance component estimates based on cell means have been shown to have useful diagnostic properties and computational simplicity. Here we establish analytic efficiency properties under conditions involving sample sizes and parameters, in general k-way unbalanced factorial models. The cell means estimates are also established as a special case of the minimum norm quadratic unbiased (or MINQUE) estimates.

Original language	English
Pages (from-to)	159-178
Number of pages	20
Journal	Journal of Statistical Planning and Inference
Volume	38
Issue number	2
DOIs	https://doi.org/10.1016/0378-3758(94)90033-7
State	Published - Feb 1994

Keywords

MINQUE estimate
MIVQUE estimate
Mixed model
relative efficiency

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10.1016/0378-3758(94)90033-7

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title = "Efficiency properties of cell means variance component estimates",

abstract = "Variance component estimates based on cell means have been shown to have useful diagnostic properties and computational simplicity. Here we establish analytic efficiency properties under conditions involving sample sizes and parameters, in general k-way unbalanced factorial models. The cell means estimates are also established as a special case of the minimum norm quadratic unbiased (or MINQUE) estimates.",

keywords = "MINQUE estimate, MIVQUE estimate, Mixed model, relative efficiency",

author = "Westfall, {Peter H.} and Bremer, {Ronald H.}",

year = "1994",

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journal = "Journal of Statistical Planning and Inference",

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T1 - Efficiency properties of cell means variance component estimates

AU - Westfall, Peter H.

AU - Bremer, Ronald H.

PY - 1994/2

Y1 - 1994/2

N2 - Variance component estimates based on cell means have been shown to have useful diagnostic properties and computational simplicity. Here we establish analytic efficiency properties under conditions involving sample sizes and parameters, in general k-way unbalanced factorial models. The cell means estimates are also established as a special case of the minimum norm quadratic unbiased (or MINQUE) estimates.

AB - Variance component estimates based on cell means have been shown to have useful diagnostic properties and computational simplicity. Here we establish analytic efficiency properties under conditions involving sample sizes and parameters, in general k-way unbalanced factorial models. The cell means estimates are also established as a special case of the minimum norm quadratic unbiased (or MINQUE) estimates.

KW - MINQUE estimate

KW - MIVQUE estimate

KW - Mixed model

KW - relative efficiency

UR - http://www.scopus.com/inward/record.url?scp=43949151748&partnerID=8YFLogxK

U2 - 10.1016/0378-3758(94)90033-7

DO - 10.1016/0378-3758(94)90033-7

M3 - Article

AN - SCOPUS:43949151748

SN - 0378-3758

VL - 38

SP - 159

EP - 178

JO - Journal of Statistical Planning and Inference

JF - Journal of Statistical Planning and Inference

IS - 2

ER -

Efficiency properties of cell means variance component estimates

Abstract

Keywords

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